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Theorems · Definition · ring theory

Algebra.algebraMap

(R : Type u) → (A : Type v) → {inst : CommSemiring R} → {inst_1 : Semiring A} → [self : Algebra R A] → R →+* A

Embedding R →+* A given by Algebra structure.

Defined in
Mathlib.Algebra.Algebra.Defs
Cited by
4,706 results in Mathlib
Foundations
Depth 11 from the axioms, rests on 84 definitions · uses no axioms
Assumes
Algebra

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Semiringstatement and proof · cited by 13,802
  • Algebrastatement and proof · cited by 11,388
  • CommSemiringstatement and proof · cited by 10,911
  • RingHomstatement · cited by 10,189

Cited by5,099

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 5,099.